If the test indicates that there is no oil in the field, what is the probability that the field contains oil?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Joon wants to determine whether his San Jose oil field will yield oil. He has hired a
geologist to run tests on the field. If there is oil in the field, there is a 95% chance that the test will
indicate oil. If the field contains no oil, there is a 5% chance that the test will indicate oil. If the
test indicates that there is no oil in the field, what is the probability that the field contains oil?
Before the test, Joon believes that there is a 10% chance that the field will yield oil.

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